Dynamics behaviors of a delayed competitive system in a random environment

作者：Tan, Ronghua; Xiang, Huili; Chen, Yiping; Liu, Zhijun^*

来源：International Journal of Biomathematics, 2015, 8(5): 1550062.

DOI：10.1142/S179352451550062X

• Delayed competitive system
• white noise
• stochastically ultimate boundedness
• extinction
• global attractivity

In the real world, the population systems are often subject to white noises and a system with such stochastic perturbations tends to be suitably modeled by stochastic differential equations. This paper is concerned with the dynamic behaviors of a delay stochastic competitive system. We first obtain the global existence of a unique positive solution of system. Later, we show that the solution of system will be stochastically ultimate boundedness. However, large noises may make the system extinct exponentially with probability one. Also, sufficient conditions for the global attractivity of system are established. Finally, illustrated examples are given to show the effectiveness of the proposed criteria.

• 出版日期2015-9
• 单位湖北民族大学